| 000 | 03545nam a22005655i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-31586-2 | ||
| 003 | DE-He213 | ||
| 005 | 20240730164503.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 230613s2023 sz | s |||| 0|eng d | ||
| 020 |
_a9783031315862 _9978-3-031-31586-2 |
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| 024 | 7 |
_a10.1007/978-3-031-31586-2 _2doi |
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| 050 | 4 | _aQC19.2-20.85 | |
| 072 | 7 |
_aPHU _2bicssc |
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_aSCI040000 _2bisacsh |
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_aPHU _2thema |
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_a530.15 _223 |
| 100 | 1 |
_aCanzani, Yaiza. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _984741 |
|
| 245 | 1 | 0 |
_aGeodesic Beams in Eigenfunction Analysis _h[electronic resource] / _cby Yaiza Canzani, Jeffrey Galkowski. |
| 250 | _a1st ed. 2023. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2023. |
|
| 300 |
_aX, 116 p. 19 illus., 6 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aIntroduction -- The Laplace operator -- Axiomatic introduction to semiclassical analysis -- Basic properties of eigenfunctions and eigenvalues -- The Koch-Tataru-Zworski approach to L∞ estimates -- Geodesic Beam Tools -- Applications of the geodesic beam decomposition -- Dynamical ideas. | |
| 520 | _aThis book discusses the modern theory of Laplace eigenfunctions through the lens of a new tool called geodesic beams. The authors provide a brief introduction to the theory of Laplace eigenfunctions followed by an accessible treatment of geodesic beams and their applications to sup norm estimates, L^p estimates, averages, and Weyl laws. Geodesic beams have proven to be a valuable tool in the study of Laplace eigenfunctions, but their treatment is currently spread through a variety of rather technical papers. The authors present a treatment of these tools that is accessible to a wider audience of mathematicians. Readers will gain an introduction to geodesic beams and the modern theory of Laplace eigenfunctions, which will enable them to understand the cutting edge aspects of this theory. This book: Reviews several physical phenomena related to Laplace eigenfunctions, ranging from the propagation of waves to the location of quantum particles; Introduces the cutting edge theory and microlocal methods of geodesic beams; Discusses how eigenfunctions of the Laplacian play a crucial role both in physics and mathematics. | ||
| 650 | 0 |
_aMathematical physics. _911013 |
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| 650 | 0 |
_aQuantum physics. _984744 |
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| 650 | 0 |
_aNuclear physics. _919166 |
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| 650 | 0 |
_aMathematics. _911584 |
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| 650 | 1 | 4 |
_aMathematical Methods in Physics. _931865 |
| 650 | 2 | 4 |
_aQuantum Physics. _984749 |
| 650 | 2 | 4 |
_aNuclear and Particle Physics. _948409 |
| 650 | 2 | 4 |
_aMathematical Physics. _911013 |
| 650 | 2 | 4 |
_aMathematics. _911584 |
| 700 | 1 |
_aGalkowski, Jeffrey. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _984752 |
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| 710 | 2 |
_aSpringerLink (Online service) _984754 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031315855 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031315879 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031315886 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _984755 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-31586-2 |
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| 942 | _cEBK | ||
| 999 |
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